Answer:
His time in mph is 16.1 mph
Unghiurile ∢AOB și ∢BOC sunt adiacente suplementare, iar OM, respectiv ON, sunt bisectoarele acestora. Fie BD ⊥ OM, D ∈ OM și BE ⊥ ON, E ∈ ON . Demonstrați că: a) patrulaterul BDOE este dreptunghi. b) OB ≡ DE .
Answer:
Following are the solution to this question:
Step-by-step explanation:
[tex]\angle AOB + \angle BOC = 180\\\\\angle MON = (\angle AOB + \angle BOC): 2 \\\\[/tex]
[tex]= 180: 2 \\\\=\frac{180}{2}\\\\= 90^{\circ}[/tex]
In point a:
[tex]\angle AOB = 60\\\\ \angle BOC = 120\\\\ \angle MON = (60 + 120): 2 \\\\[/tex]
[tex]= 180: 2 \\\\=\frac{180}{2}\\\\= 90^{\circ}[/tex]
In point b:
[tex]\angle BOC = 100\\\\\angle AOB = 80\\\\ \angle MON = (100 + 80): 2[/tex]
[tex]= 180: 2 \\\\=\frac{180}{2}\\\\= 90^{\circ}[/tex]
Determine the point of intersection of right bisectors in a triangle ∆ABC with vertices A (-3, 5), B (1, 1) and C (−7, −3). Find the distance from the point of intersection to each vertex of the triangle.
9514 1404 393
Answer:
intersection: (-3 2/3, 1/3)distances to vertices: (10/3)√2Step-by-step explanation:
A) In order to write the equations of the perpendicular bisectors of the segments, we need to know the midpoint and the slope.
The midpoint is the average of the coordinates:
midpoint(A, B) = ((-3, 5) +(1, 1))/2 = (-3+1, 5+1)/2 = (-1, 3)
midpoint(A, C) = ((-3, 5) +(-7, -3))/2 = (-3-7, 5-3)/2 = (-5, 1)
The differences between the coordinates of the points can be helpful:
B-A = (1, 1) -(-3, 5) = (1+3, 1-5) = (4, -4) . . . . . reduces to (∆x, ∆y) = (1, -1)
C-A = (-7, -3) -(-3, 5) = (-7+3, -3-5) = (-4, -8) . . . . . reduces to (∆x, ∆y) = (1, 2)
_____
A line through point (h, k) perpendicular to one with (∆x, ∆y) can be written:
(∆x)(x -h) +(∆y)(y -k) = 0
Then the bisectors of AB and AC will be ...
(x +1) -(y -3) = 0
(x +5) +2(y -1) = 0
Their intersection point can be found by solving this system.
(x +2y +3) -(x - y + 4) = (0) -(0) . . . . . subtract the 1st equation from the 2nd
3y -1 = 0
y = 1/3
x = y -4 = -3 2/3
The point of intersection of the right bisectors is (x, y) = (-3 2/3, 1/3).
__
B) The intersection point is the circumcenter. It will be the same distance from any of the vertices.
That distance can be found using any of the vertices. Using point B, we find the distance to be ...
d = √((-3 2/3 -1)^2 +(1/3 -1)^2) = √((14/3)^2 +(2/3)^2) = √(200/9)
d = (10/3)√2
The distance to each vertex is (10/3)√2 ≈ 4.71.
You buy 6 items for $25.60. About how much did you spend?
$125
$145
$75
$150
Answer: About $150.
Explanation: Each item cost $25.60, so I multiplied it into six, equalling about $150.
Please help its7to10 I be waiting like two hours
Answer:
Please check the explanation!
Step-by-step explanation:
Important factors to remember regarding the like terms:
'Like terms' are terms whose variables such as 2x and 6x are the same. Also if the variables contain the exponents such as 4 in x⁴, they must be the same too.Since the coefficient doesn't affect likeness, therefore we can say that all constant terms would be treated as the like terms.Question 7
Given the terms
2b b⁶ b x⁴ 3b⁶ 2x²
From the list of terms, there are two groups of like terms which are:
2b b (Like terms containing the variable b)
b⁶ 3b⁶ (Like terms containing the variable b with the same exponents)
The remaining two x⁴ and 2x² terms are different from each other and the rest of the termsQuestion 8
Given the terms
6 2n 3n² 3m² n/4 7
From the list of terms, there is one group of like terms which are:
6 7 (Constants Like terms)
2n n/4 (The terms with the same variable n)
All the remaining terms such as 3n², 3m² are all different from each other and the rest of the terms.Question 9
Given the terms
10k² m 3³ p/6 2m
From the list of terms, there are there is one group of like terms which are:
m 2m (The terms withe same variable m)
All the remaining terms such as 10k², 3³, p/6 are all different from each other and the rest of the terms.Question 10
Given the terms
6³ y³ 3y² 6² y 5y³
From the list of terms, there are two groups of like terms which are:
y³ 5y³ (The terms withe same variable m and exponent)
6³ 6² (Constant like terms. Plz don't confuse the power as all are the same constant terms)
All the remaining terms such as y and 3y² are all different from each other and the rest of the terms.Synthetic Division
(6n^3 - 57n^2 + 69n - 14) ÷ (n - 1/2)
Answer:
[tex]Lets\ consider\ the\ divisor\ (n-\frac{1}{2})\ as\ g(x) \\In\ order\ to\ perform\ synthetic\ division\ we\ need\ to\ find\ the\ zero\ of\ the\ divisor\ . \\Hence,\\g(x)=0\\n-\frac{1}{2}=0\\n= \frac{1}{2}\\[/tex]
[tex]Now\ we\ must\ write\ the\ dividend\ in\ its\ standard\ form\ and\ seperate\ out\ its\ coeffeicient.[/tex][tex]So,\\\\The\ Coefficients\ will\ be\ in\ this\ order\ : 6,-57,+19,-14[/tex]
[tex]\frac{1}{2}[/tex] | 6 -57 19 -14
+ | 3 -27 -4
Q = [6 -54 -8] |-18 =R
[tex]Hence,\\The\ acquired\ quotient\ is\ 6n^2-54n-8[/tex]
Hence,
As the divisor is rational,
The quotient would be multiplied by the zero(1/2).
[tex]Hence,\\the\ final\ quotient\ = 3n^2-27n-4[/tex]
[tex]Remainder =-9[/tex]
To which subset of the real number system does -24 belong?
Answer:
The real numbers have the following important subsets: rational numbers, irrational numbers, integers, whole numbers, and natural numbers. To represent a number on the number line graphically, we plot a point or its coordinate where it is approximately located on the number line.
Choose the correct answer to 1,889/36.
42 R17
51 R53
52 R15
52 R17
Answer:
52 R17
Step-by-step explanation:
52 * 36 = 1872
1889 - 1872 = 17
--> 52 R17
If 10 cm on a map represents 25 km of actual ground, how many centimetres would 45 km of actual ground be on a map?
Answer:
The answer would be 20cm.
Marita's nose is 2 inches long and her head is 9 inches tall. Assume Mount Rushmore was carved using the same ratio. If Teddy Roosevelt's head is 60 feet tall, how long should his nose be? Round to the nearest foot, if necessary.
Mount Rushmore
President Roosevelt's nose should be approximately
A feet long.
Plz help it is due in 15 minuites
Answer:hey guys it’s 13
Step-by-step explanation:
Don’t have an explanation but my teacher just said so and he’s smart so trust me
A right triangle with a base equal to 24 in and height equal to 18 in.
Answer: A= 216
Step-by-step explanation:
10 divided by 2 would be 5 because it pretty much splits it in equal parts like this if you do each friend get 1 cup of water there is 9 liters so what you do it give each 3 liters of water and that's 9 divided by 3 so you split 3 parts into 9
Answer:
First of how many friends are there and if each freind get one why are you giving them three and did you count yourself as well
Step-by-step explanation:
Subtract: 3.8 - 2.923. Explain in your own words how you would solve this, in detail, from start to finish.
Answer:
Step-by-step explanation:
3.8-2.923
Change to 3.800 to match the number of digits in the second number. Work from right to left. 3 minus 0 is 7. work our way over until the end. You should get 0.877 for an answer.
If the weight of a package is multiplied by 3/4 the result is 54 pounds find the weight of the package?
Answer:
72
Step-by-step explanation:
In order to find the solution to this problem, you would first need to divide 54 by 3, than multiply by 4. You could also multiply 54 by the reciprocal of 3/4, which is 4/3.
What is the solution to
{y=14x+3y=2x+10
Answer:
The solution is ([tex]\frac{7}{12}[/tex] , [tex]\frac{67}{6}[/tex])
Step-by-step explanation:
∵ y = 14x + 3 ⇒ (1)
∵ y = 2x + 10 ⇒ (2)
→ Equate equations (1) and (2) to find x
∵ 14x + 3 = 2x + 10
→ Subtract 2x from both sides
∴ 14x - 2x + 3 = 2x - 2x + 10
∴ 12x + 3 = 10
→ Subtract 3 from both sides
∴ 12x + 3 - 3 = 10 - 3
∴ 12x = 7
→ Divide both sides by 12 to find x
∵ [tex]\frac{12x}{12}[/tex] [tex]\frac{7}{12}[/tex]
∴ x = [tex]\frac{7}{12}[/tex]
→ Substitute the value of x in equation (1) or (2) to find y
∵ y = 2([tex]\frac{7}{12}[/tex]) + 10
∴ y = [tex]\frac{7}{6}[/tex] + 10
∴ y = [tex]\frac{67}{6}[/tex]
∴ The solution is ([tex]\frac{7}{12}[/tex] , [tex]\frac{67}{6}[/tex])
Anyone? Would appreciate it.
Answer:
correct
Step-by-step explanation:
Find the slope of the line passing through the two points.
(2.1, 3.8), (3.1, 7.6)
Answer:
3.8
Step-by-step explanation:
Slope formula- m = y2 - y1
x2 - x1
x1, y1
2.1, 3.8
7.6 - 3.8
3.1 - 2.1 = 3.8
x2,y2
3.1, 7.6
Confused and I need help please
Given P(A)=0.78P(A)=0.78, P(B)=0.65P(B)=0.65 and P(A\cup B)=0.873P(A∪B)=0.873, find the value of P(A\cap B)P(A∩B), rounding to the nearest thousandth, if necessary
Answer:
[tex]P(A\ n\ B) = 0.557[/tex]
Step-by-step explanation:
Given
[tex]P(A) = 0.78[/tex]
[tex]P(B) = 0.65[/tex]
[tex]P(A\ u\ B) = 0.873[/tex]
Required
Determine [tex]P(A\ n\ B)[/tex]
From laws of probability, we have:
[tex]P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)[/tex]
Substitute in values
[tex]P(A\ n\ B) = 0.78 + 0.65 - 0.873[/tex]
[tex]P(A\ n\ B) = 0.557[/tex]
Hence, [tex]P(A\ n\ B)[/tex] is calculated to be 0.557
In the middle of a very cold winter night the temperature outside is -20'c at nine o'clock in the morning it has become 30 degrees warmer. What is the temperature at nine o'clock
Answer:
10°c
Step-by-step explanation:
-20°c + 30° = 10°c
Can I get Brainliest? Plz!
LAST ONE I NEED HELP ON PLEASE
Answer:
A
Step-by-step explanation:
First you find the volume of the cube which is 512. Then you find the volume of the cone which is 133.97333333 and so on. Lastly you subtract 512 by 133.973333333 (and so on) which is 378.026667. Rounded the answer would be 378.0 which is answer A.
Plz mark brainliest!!! I spent lot of time on this.
One of your friends gives you $10 for a charity walkathon. Another friend gives you an amount per mile. After 5 miles, you have raised $13.50 total. Write an equation in slope-intercept form that represents the amount y of money you have raised after x miles.
y=
Answer:
y = 0.70x- 10.00
Step-by-step explanation:
-- Since one friend gave you 10.00 ,subtractthis from the 13.50 to give you the amount earned by walking the 5 miles
-- 13.5-10.00 = $3.50
-- Since you walked 5 miles, divide by 5 to give you 0.70 per mile earned.
So, an equation that represents the amount of money earned is:
y = 0.70x- 10.00 . This is in slope-intercept form; the slope is $0.70 and represents the amount of money earned per mile and the intercept is $10.00 and represents the initial amount of money that you were given.
what is the answer
9x plus 2 (2x+3)
Step-by-step explanation:
=9x+2(2x+3)
=9x+4x+6
=13x+6 I hope so,
Anthony read 46 pages of a book in 23 minutes.
To find the unit rate, use
.
Anthony read
pages per minute.
Answer: Anthony read 2 pages per minute.
Step-by-step explanation:
Answer: 2 pages/ 1 minute or (2 pages per minute)
Step-by-step explanation: To find the unit rate for how many pages of a book Anthony finds in 23 minutes, you’ll have to divide 46 by 23, which gives you a final result of 2 pages/ 1 minute or (2 pages per minute).
15x - 9 = -69 i need help :0 if i dont get this right the world could end
Answer:
x= -4
Step-by-step explanation:
you would first add the 9 to -69 to get -60 then you would divide -60by 15 to get -4
hope this helps
:)
Answer:
15x=-69+9
15x=-60
x=-60/15
x=-4
Step-by-step explanation:
jason buys 2 baseball bats for $300 what is the unit rate per bat
Answer:
300/2= $150
Hope this is what you are looking for!
what is the equation of the line through (2,3) and (0, -1)
so 3x2 equals 6 and 0 x 1 equals 0 so 0x6 equals 0 so its zero
Answer:
0
Step-by-step explanation:
A snow making machine priced at $1800 is on sale for 25% off. The sales tax rate is 6.25%. What is the sale price including tax? If necessary round your answers to the nearest cent.
Answer:
1434.375
Step-by-step explanation:
If you multiply 1,800 by 25% you get 1,350
you take 1,350 and add 6.25% because the 6.25% is the tax.
Then you will get 1434.37 or 1434.40
a rectangle has a length of x3y4 inches a width of xy7 inches. which expression represents the ratio of the length of the rectangle to the width of the rectangle?
Answer: R = x^2/y^3
Step-by-step explanation:
here we will use the relation:
x^a/x^b = x^(a - b)
We know that:
Length = x^3*y^4
Width = x*y^7
And we want to find an expression that represents the ratio between the length and the width.
Then we just need to take the quotient Lenght/width or:
R = ( x^3*y^4)/(x*y^7)
Now first let's distribute in such way the x's and the y's are separated, and then let's use the relationship that is above.
= (x^3/x)*(y^4/y^7) = x^(3 - 1)*y^(4 - 7) = x^2*y^-3
R = x^2/y^3
The ratio of the length of the rectangle to the width of the rectangle is [tex]\frac{x^{2} }{y^{3} }[/tex]
Rectangle:Given that,
Area of rectangle is multiplication of length and width of rectangle.
length of rectangle [tex]=x^{3} y^{4}[/tex] inches
Width of rectangle [tex]=xy^{7}[/tex] inches.
the ratio of the length of the rectangle to the width of the rectangle is,
[tex]=\frac{x^{3}y^{4} }{xy^{7} } =\frac{x^{2} }{y^{3} }[/tex]
Learn more about the rectangle here:
https://brainly.com/question/19819849
1 Which expression is equivalent to (7x – 5) – (3x - 2)?
Answer:
The answer is D.
Step-by-step explanation:
Which is greater than 4: (a) 5 or (b) 5?
Answer:
I think C. is correct
Step-by-step explanation:
Just trust me, I'm smart ;)
Answer:
they both are the same number
Step-by-step explanation: